STD 6 Handling Data Pie Charts

Can you: If not you need Draw a pie chart Answer questions from pie charts Try a test TOP: Revise angles Practice 1: How to draw a pie chart Practice 2: Answer questions about pie charts TAIL If not you need

TOP Are you ready for the answers ? How many degrees in a circle? 360º 180º 90º Looks like a square Two equal sides, two equal angles All sides and angles equal Add up to 180º All sides and angles are different TOP How many degrees in a circle? How many degrees in a triangle? How many degrees in a right angle? How do we recognize a right angle? What makes a triangle isosceles? How do we know if a triangle is equilateral? How many degrees in a quadrilateral? What do we know about an interior and exterior angle? What do all exterior angles add up to? Write a fact about scalene triangles. Lesson

Practice 1: Draw the pie charts from the tables below. 1) 2) Remember: Step 1: Total frequency if not given Step 2: 360º  Total Frequency Step 3: Multiply each group by the answer to Step 2 Step 4: Draw the pie chart Step 5: Label carefully Activity Frequency Gym 4 Swimming 12 Squash 3 Aerobics 11 Total 30 Type of Pet Frequency Cat 30 Dog 25 Rabbit 15 Other 20 Total 90 Lesson

The pie chart shows how Jenny spends her monthly income. Practice 2: The pie chart shows how Jenny spends her monthly income. Jenny spends £150 a month on food. (a) Work out Jenny’s monthly income (b) Work out how much Jenny spends on rent each month. 120º Food Rent Other Bills Savings Clothes & Going Out Put the angle in the pie chart over 360 (like a fraction), cancel down if possible and then relate it to the money Jenny has. Next

(a) Work out the size of the angle representing Wages. The pie chart gives information about the bills paid by a Water Company. (a) Work out the size of the angle representing Wages. The Water Company spent £18 000 on Materials. (b) Work out the amount it spent on Rates. Lesson

TAIL Are you ready for the answers ? 1) Patrick carried out a survey of 45 pupils in Year 11. He asked how many books they had borrowed from the library in the last month. These are Patrick’s results. (a) Copy and complete the table. (b) Construct a pie chart to show this information. Are you ready for the answers ? Next

Answers to Q1 Angles : 11  8 = 88º 15  8 = 120º 13  8 = 104º 6  8 = 48º Next

Are you ready for the answers ? 2) In a town, 1800 cars were stolen in a year. The table show information about the times of day in which they were stolen. Time Number of cars Midnight to 6 am 700 6 am to midday 80 Midday to 6 pm 280 6 pm to midnight 470 Time unknown 270 This information can be shown on a pie chart. (a) Copy out the table below and work out the angles for each sector. Time Angle of sector Midnight to 6 am   6 am to midday Midday to 6 pm 6 pm to midnight Time unknown Total of angles 360º Are you ready for the answers ? (b) Construct the pie chart. (c) What fraction of cars were stolen between midday and 6pm. Write your answer in its simplest terms. Next

Answers to Q2. Angles: 700  0.2 = 140º 80  0.2 = 16º 280  0.2 = 56º 470  0.2 = 94º 270  0.2 = 140º (c) 280 = 7 1800 45 Lesson